SOLUTION: solve by completing the square: {{{x^2-4x+10=0}}} My work: {{{x^2-4x=-10}}} then do half of four which is 2, then do 2times 2 and get 4. {{{X^2-4x+4=-10+4}}} {{{X^2-4x

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: solve by completing the square: {{{x^2-4x+10=0}}} My work: {{{x^2-4x=-10}}} then do half of four which is 2, then do 2times 2 and get 4. {{{X^2-4x+4=-10+4}}} {{{X^2-4x      Log On


   

Question 697148: solve by completing the square:
x%5E2-4x%2B10=0
My work:
x%5E2-4x=-10 then do half of four which is 2, then do 2times 2 and get 4.
X%5E2-4x%2B4=-10%2B4
X%5E2-4x%2B4=-6
(x-2)(x-2)=-6
(x-2)=plus or mine sqrt%286%29
x=2 plus or minus sqrt%286%29
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
solve by completing the square:
x%5E2-4x%2B10=0
My work:
x%5E2-4x=-10 then do half of four which is 2, then do 2times 2 and get 4.
X%5E2-4x%2B4=-10%2B4
X%5E2-4x%2B4=-6
(x-2)(x-2)=-6
x-2+=+sqrt%28-6%29
x+=+2+%2B+i%2Asqrt%286%29
x+=+2+-+i%2Asqrt%286%29
----
i = sqrt(-1)
=========================
(x-2)=plus or mine sqrt%286%29
x=2 plus or minus sqrt%286%29 ***** correct except for the i